Math Formulas Complex numbers Sets of Numbers Set Identities

Math Formulas Complex numbers

  • Equality of complex numbers
  • Addition of complex numbers
  • Subtraction of complex numbers
  • Multiplication of complex numbers
  • Division of complex numbers
  • Polar form of complex numbers
  • Multiplication and division of complex numbers in polar form
  • De Moivre's theorem
  • Roots of complex numbers    

Math Formulas  Sets of Numbers 

  • Natural numbers (counting numbers )
  • Whole numbers ( counting numbers with zero )
  • Integers ( whole numbers and their opposites and zero )
  • Irrational numbers: Non repeating and nonterminating integers
  • Real numbers: Union of rational and irrational numbers  

Math Formulas Set Identities

  • Union of sets
  • Intersection of sets
  • Complement
  • Difference of sets
  • Cartesian product

Math Formulas Set Identities

 Set Identities involving union
  • Commutativity
  • Associativity
  • Idempotency

Set Identities involving intersection
  • Commutativity
  • Associativity
  • Idempotency 
 Set Identities involving union and intersection
  • Distributivity
  • Domination
  • Identity 
Set Identities involving union, intersection and complement
  • Complement of intersection and union
  • De Morgan's laws  
 Set identities involving difference